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34412311272 = 23315716195641
BaseRepresentation
bin100000000011001000…
…100011001011101000
310021211020211112120010
4200003020203023220
51030434022430042
623450411131520
72325524551053
oct400310431350
9107736745503
1034412311272
1113659941879
126804743ba0
133325548981
141946449a9a
15d6619559c
hex8032232e8

34412311272 has 64 divisors (see below), whose sum is σ = 86647579200. Its totient is φ = 11388648960.

The previous prime is 34412311249. The next prime is 34412311303. The reversal of 34412311272 is 27211321443.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6097572 + ... + 6103212.

It is an arithmetic number, because the mean of its divisors is an integer number (1353868425).

Almost surely, 234412311272 is an apocalyptic number.

It is an amenable number.

34412311272 is an abundant number, since it is smaller than the sum of its proper divisors (52235267928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34412311272 is a wasteful number, since it uses less digits than its factorization.

34412311272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7426 (or 7422 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The spelling of 34412311272 in words is "thirty-four billion, four hundred twelve million, three hundred eleven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 157 314 471 628 942 1256 1619 1884 3238 3768 4857 5641 6476 9714 11282 12952 16923 19428 22564 33846 38856 45128 67692 135384 254183 508366 762549 885637 1016732 1525098 1771274 2033464 2656911 3050196 3542548 5313822 6100392 7085096 9132779 10627644 18265558 21255288 27398337 36531116 54796674 73062232 109593348 219186696 1433846303 2867692606 4301538909 5735385212 8603077818 11470770424 17206155636 34412311272